The choice which is equivalent to the given expression is [tex]3x \sqrt{2x}[/tex]. The correct option is D. [tex]3x \sqrt{2x}[/tex]
From the question, we are to determine the expression which is equivalent to the given expression
The given expression is
[tex]\sqrt{6x^{2} } \times\sqrt{3x}[/tex]
This can be written as
[tex]\sqrt{6x^{2} \times 3x}[/tex]
= [tex]\sqrt{18x^{2} \times x}[/tex]
= [tex]\sqrt{9x^{2} \times 2x}[/tex]
= [tex]\sqrt{9x^{2} } \times \sqrt{2x}[/tex]
= [tex]3x\times \sqrt{2x}[/tex]
= [tex]3x \sqrt{2x}[/tex]
Hence, the choice which is equivalent to the given expression is [tex]3x \sqrt{2x}[/tex]. The correct option is D. [tex]3x \sqrt{2x}[/tex]
Learn more on Simplifying an expression here: https://brainly.com/question/425152
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